College Algebra: Enhanced with Graphing Utilities, 8th edition

Michael Sullivan

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The proven approach of Michael Sullivan and Michael Sullivan III focuses you on the fundamental skills needed for the algebra and trigonometry course: prepare for class, practice with homework, and review the concepts. Part of the Enhanced with Graphing Utilities Series, College Algebra Enhanced with Graphing Utilities fully integrates graphing utilities into topics, allowing you to explore mathematical concepts and encounter ideas usually studied in later courses. Many examples show solutions using algebra side by side with graphing techniques. In the 8th Edition, all exercises and examples in the text have been reviewed and updated as needed, and the authors have added new problem-solving and review features.

ISBN-13: 9780136872801

Subject: Precalculus, College Algebra & Trigonometry

Category: College Algebra

R. Review

R.1 Real Numbers
R.2 Algebra Essentials
R.3 Geometry Essentials
R.4 Polynomials
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents

1. Graphs, Equations, and Inequalities

1.1 Graphing Utilities; Introduction to Graphing Equations
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations
1.3 Quadratic Equations
1.4 Complex Numbers; Quadratic Equations in the Complex Number System
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations Factorable Equations
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
1.7 Solving Inequalities
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

2. Graphs

2.1 The Distance and Midpoint Formulas
2.2 Intercepts; Symmetry; Graphing Key Equations
2.3 Lines
2.4 Circles
2.5 Variation
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

3. Functions and their Graphs

3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; Piecewise-defined Functions
3.5 Graphing Techniques: Transformations
3.6 Mathematical Models: Building Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

4. Linear and Quadratic Functions

4.1 Properties of Linear Functions and Linear Models
4.2 Building Linear Models from Data
4.3 Quadratic Functions and Their Properties
4.4 Build Quadratic Models from Verbal Descriptions and Data
4.5 Inequalities Involving Quadratic Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

5. Polynomial and Rational Functions

5.1 Polynomial Functions
5.2 The Graph of a Polynomial Function and Models
5.3 The Real Zeros of a Polynomial Function
5.4 Complex Zeros; Fundamental Theorem of Algebra
5.5 Properties of Rational Functions
5.6 The Graph of a Rational Function
5.7 Polynomial and Rational Inequalities
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

6. Exponential and Logarithmic Functions

6.1 Composite Functions
6.2 One-to-One Functions; Inverse Functions
6.3 Exponential Functions
6.4 Logarithmic Functions
6.5 Properties of Logarithms
6.6 Logarithmic and Exponential Equations
6.7 Financial Models
6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
6.9 Building Exponential, Logarithmic, and Logistic Models from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

7. Analytic Geometry

7.1 Conics
7.2 The Parabola
7.3 The Ellipse
7.4 The Hyperbola
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

8. Systems of Equations and Inequalities

8.1 Systems of Linear Equations: Substitution and Elimination
8.2 Systems of Linear Equations: Matrices
8.3 Systems of Linear Equations: Determinants
8.4 Matrix Algebra
8.5 Partial Fraction Decomposition
8.6 Systems of Nonlinear Equations
8.7 Systems of Inequalities
8.8 Linear Programming
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

9. Sequences; Induction; the Binomial Theorem

9.1 Sequences
9.2 Arithmetic Sequences
9.3 Geometric Sequences; Geometric Series
9.4 Mathematical Induction
9.5 The Binomial Theorem
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects

10. Counting and Probability

10.1 Counting
10.2 Permutations and Combinations
10.3 Probability
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects